Acronym	shopjak
Name	small demiprismated icosiheptaheptacontidipeton
Circumradius	sqrt(11/3) = 1.914854
Face vector	1080, 8640, 19440, 16200, 4662, 342
Confer	general polytopal classes: Wythoffian polypeta   lace simplices
External links

Incidence matrix according to Dynkin symbol

x3o3o3x3o *c3o

. . . . .    . | 1080 |    4   12 |    6   24   24    6 |    4   12   24   12    8   12    8 |   8   1   6   12    8   4   2   4 |  4  2   4  1
---------------+------+-----------+---------------------+------------------------------------+-----------------------------------+-------------
x . . . .    . |    2 | 2160    * |    3    6    0    0 |    3    6    6    3    0    0    0 |   6   1   3    3    2   0   0   0 |  3  2   1  0
. . . x .    . |    2 |    * 6480 |    0    2    4    1 |    0    1    4    2    2    4    2 |   2   0   1    4    2   2   1   2 |  2  1   2  1
---------------+------+-----------+---------------------+------------------------------------+-----------------------------------+-------------
x3o . . .    . |    3 |    3    0 | 2160    *    *    * |    2    2    0    0    0    0    0 |   4   1   1    0    0   0   0   0 |  2  2   0  0
x . . x .    . |    4 |    2    2 |    * 6480    *    * |    0    1    2    1    0    0    0 |   2   0   1    2    1   0   0   0 |  2  1   1  0
. . o3x .    . |    3 |    0    3 |    *    * 8640    * |    0    0    1    0    1    1    1 |   1   0   0    1    1   1   1   1 |  1  1   1  1
. . . x3o    . |    3 |    0    3 |    *    *    * 2160 |    0    0    0    2    0    4    0 |   0   0   1    4    0   2   0   2 |  2  0   2  1
---------------+------+-----------+---------------------+------------------------------------+-----------------------------------+-------------
x3o3o . .    . ♦    4 |    6    0 |    4    0    0    0 | 1080    *    *    *    *    *    * |   2   1   0    0    0   0   0   0 |  1  2   0  0
x3o . x .    . ♦    6 |    6    3 |    2    3    0    0 |    * 2160    *    *    *    *    * |   2   0   1    0    0   0   0   0 |  2  1   0  0
x . o3x .    . ♦    6 |    3    6 |    0    3    2    0 |    *    * 4320    *    *    *    * |   1   0   0    1    1   0   0   0 |  1  1   1  0
x . . x3o    . ♦    6 |    3    6 |    0    3    0    2 |    *    *    * 2160    *    *    * |   0   0   1    2    0   0   0   0 |  2  0   1  0
. o3o3x .    . ♦    4 |    0    6 |    0    0    4    0 |    *    *    *    * 2160    *    * |   1   0   0    0    0   1   1   0 |  1  1   0  1
. . o3x3o    . ♦    6 |    0   12 |    0    0    4    4 |    *    *    *    *    * 2160    * |   0   0   0    1    0   1   0   1 |  1  0   1  1
. . o3x . *c3o ♦    4 |    0    6 |    0    0    4    0 |    *    *    *    *    *    * 2160 |   0   0   0    0    1   0   1   1 |  0  1   1  1
---------------+------+-----------+---------------------+------------------------------------+-----------------------------------+-------------
x3o3o3x .    . ♦   20 |   30   30 |   20   30   20    0 |    5   10   10    0    5    0    0 | 432   *   *    *    *   *   *   * |  1  1   0  0
x3o3o . . *c3o ♦    5 |   10    0 |   10    0    0    0 |    5    0    0    0    0    0    0 |   * 216   *    *    *   *   *   * |  0  2   0  0
x3o . x3o    . ♦    9 |    9    9 |    3    9    0    3 |    0    3    0    3    0    0    0 |   *   * 720    *    *   *   *   * |  2  0   0  0
x . o3x3o    . ♦   12 |    6   24 |    0   12    8    8 |    0    0    4    4    0    2    0 |   *   *   * 1080    *   *   *   * |  1  0   1  0
x . o3x . *c3o ♦    8 |    4   12 |    0    6    8    0 |    0    0    4    0    0    0    2 |   *   *   *    * 1080   *   *   * |  0  1   1  0
. o3o3x3o    . ♦   10 |    0   30 |    0    0   20   10 |    0    0    0    0    5    5    0 |   *   *   *    *    * 432   *   * |  1  0   0  1
. o3o3x . *c3o ♦    8 |    0   24 |    0    0   32    0 |    0    0    0    0    8    0    8 |   *   *   *    *    *   * 270   * |  0  1   0  1
. . o3x3o *c3o ♦   10 |    0   30 |    0    0   20   10 |    0    0    0    0    0    5    5 |   *   *   *    *    *   *   * 432 |  0  0   1  1
---------------+------+-----------+---------------------+------------------------------------+-----------------------------------+-------------
x3o3o3x3o    . ♦   60 |   90  180 |   60  180  120   60 |   15   60   60   60   30   30    0 |   6   0  20   15    0   6   0   0 | 72  *   *  *
x3o3o3x . *c3o ♦   80 |  160  240 |  160  240  320    0 |   80   80  160    0   80    0   80 |  16  16   0    0   40   0  10   0 |  * 27   *  *
x . o3x3o *c3o ♦   20 |   10   60 |    0   30   40   20 |    0    0   20   10    0   10   10 |   0   0   0    5    5   0   0   2 |  *  * 216  *
. o3o3x3o *c3o ♦   40 |    0  240 |    0    0  320   80 |    0    0    0    0   80   80   80 |   0   0   0    0    0  16  10  16 |  *  *   * 27